Only took me about ten years to think of this, but why not?
When we are in Coach Hiring, there's a Column for "Interested Teams." A simple '+1' lets you know if a coach has anyone bidding on him or not. It's the smallest bit of information, but it helps.
So why can't we get that for Free Agent players? As it stands, the only way to know if a player has no one bidding on him is if you wait two or three days and see if his asking price starts to drop.